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Finding the Fourth Proportional to 2,150.51, 2,969.00 and 1,405.72

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Solution

The fourth proportional to 2,150.51, 2,969.00 and 1,405.72 is: 1,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.51 : 2,969.00 = 1,405.72 : x
  2. Step 2: Convert to fraction form
    2,150.51/2,969.00 = 1,405.72/x
  3. Step 3: Cross multiply
    2,150.51x = 2,969.00 × 1,405.72
  4. Step 4: Simplify right side
    2,150.51x = 4,173,578.77
  5. Step 5: Solve for x
    x = 4,173,578.77/2,150.51
  6. Step 6: Final answer
    x = 1,940.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.